An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entrylevel jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs).
x  16  33  53  28  50  25 
y  2  3  5  5  9  3 
Given: Σx = 205 Σy = 27 Σx^{2} = 8063 Σy^{2} = 153 Σxy = 1061 r ≈ 0.758.
(c) Find x, and y. Then find the equation of the leastsquares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)
x  = ___  
y  = ____  
= ____  + ___ x 
(e) Find the value of the coefficient of determination r^{2}. What percentage of the variation in y can be explained by the corresponding variation in x and the leastsquares line? What percentage is unexplained? (Round your answer for r^{2} to three decimal places. Round your answers for the percentages to one decimal place.)

c)
X̅=ΣX/n =  34.17 
Y̅=ΣY/n =  4.50 
ŷ =  0.031+0.131x 
e)
coefficient of determination r^{2} =  0.575  
explained =  57.5%  
unexplained=  42.5% 
f)
predicted value =0.031+0.131*32=  4.22 
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